plugin-Quiz3b

# Plugin-Quiz3b - ode45 to calculate[t,y Note In(c and(d write down exactly as it should appear in real M-files a LJI ~ V ~ =d r = ~ ~ = 1 j 2'j~

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Math245 Homework Quiz #3b, Spring 2009 circle section: l1am, 12pm, Ipm Name: __________ 1.(20pt) Find the general solution. y" - 4y' + 4y = 0

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2.(20pt) Consider the initial-value problem with constant m. y" - 4my' + 2y = 0, y(O) = -I, y'(O) = 2 Answer the following questions. a. write this equation in terms of a system of first-order ODEs. b. write down the corresponding boundary conditions. c. write down the contents of a M-file function defining this ODE system. d. write down the contents of the second M-file up to invoking function
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Unformatted text preview: ode45 to calculate [t,y] . Note: In (c) and (d), write down exactly as it should appear in real M-files. a, LJI ~ V; / ~: =d r = ~ ~ = 1 j; 2 ' --'j~ =-9-c }1) u if f .- ? if "6 / ~ <f--fh ~-2/ , b, tg(Io) =-(, d (6) = -) ~ . r ~\(O) =-2 _ Lj (U ~ ~-? - 2 . ( . cjzll1C11jV[ yA! = :}LtrMn?e (~J/ (]1) ydoT '=-(Ljtz) -2*~(1) + 9-ffl/i*d(Z)] d. ~h = Icc> IO U ] ~ .-{ -f '2 J Yh. ~ z. {if LJJ= 6defls-( () jvutfJ6rnC/ ~1~h_J: J/ f17)...
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## This note was uploaded on 06/01/2009 for the course MATH 245 taught by Professor Alexander during the Spring '07 term at USC.

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Plugin-Quiz3b - ode45 to calculate[t,y Note In(c and(d write down exactly as it should appear in real M-files a LJI ~ V ~ =d r = ~ ~ = 1 j 2'j~

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